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4906656 = 2535631
BaseRepresentation
bin10010101101111010100000
3100020021200000
4102231322200
52224003111
6253100000
756464056
oct22557240
910207600
104906656
112851497
121787600
13102a461
1491a1d6
1566dc56
hex4adea0

4906656 has 72 divisors (see below), whose sum is σ = 14493024. Its totient is φ = 1632960.

The previous prime is 4906651. The next prime is 4906661. The reversal of 4906656 is 6566094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4906651) and next prime (4906661).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4906656.

It is not an unprimeable number, because it can be changed into a prime (4906651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7461 + ... + 8091.

It is an arithmetic number, because the mean of its divisors is an integer number (201292).

Almost surely, 24906656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4906656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246512).

4906656 is an abundant number, since it is smaller than the sum of its proper divisors (9586368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4906656 is an equidigital number, since it uses as much as digits as its factorization.

4906656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4906656 is about 2215.0972890598. The cubic root of 4906656 is about 169.9267966256.

The spelling of 4906656 in words is "four million, nine hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 631 648 864 972 1262 1296 1893 1944 2524 2592 3786 3888 5048 5679 7572 7776 10096 11358 15144 17037 20192 22716 30288 34074 45432 51111 60576 68148 90864 102222 136296 153333 181728 204444 272592 306666 408888 545184 613332 817776 1226664 1635552 2453328 4906656